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Is this a valid Tic Tac Toe State?
For the game of <https://en.wikipedia.org/wiki/Tic-tac-toe Tic Tac Toe> we will be storing the state of the game in a matrix M. ...
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Group-wise Euclidean distance
*Input*: * *x* —— An array of size *n-by-d*, where each row vector denotes a point in a d-dimensional space; * *g* —— A gro...
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Ned's queens
A tribute to Cody's five-year anniversary should also celebrate the people behind Cody, and in this particular case, our illustr...
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Pair Primes
Let's define pair primes as follow; For 2 digits numbers: 11 and 17 are pair primes because both of them are 2 digits prime num...
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Sums of Distinct Powers
You will be given three numbers: base, nstart, and nend. Write a MATLAB script that will compute the sum of a sequence of both ...
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Number of Even Elements in Fibonacci Sequence
Find how many even Fibonacci numbers are available in the first d numbers. Consider the following first 14 numbers 1 1 2...
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Pandigital Multiples of 11 (based on Project Euler 491)
A "Pandigital number of order X" is one that contains all of the numbers from 0 to X, but with no leading zeroes. If X>9, the cy...
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Digit concentration in Champernowne's constant
Consider the first 50 digits of Champernowne's constant 0.12345678910111213141516171819202122232425262728293... The...
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Acid and water
⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ Assume that there is a 100 liter tank. It is initially fi...
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One track five lanes
Find the minimum number of lane changes necessary to cross the entire track without running into any obstacles <<http://www.a...
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Cache me Outside
The test suite includes a simple recursive Fibonacci sequence generator, but it's terribly inefficient. One simple method for im...
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Recaman Sequence - III
I want to create a Recaman sequence where there is a "1" in the n-th position. So from which integer should I start the Recaman ...
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Determine when snow started
R.P. Agnew posed the following problem: It starts snowing in the morning and continues steadily throughout the day. A snowplow t...
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Find the fastest reaction chain to reach a target compound
This problem is related to Problem <45470>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...
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List the households affected by leaks in water distribution
Consider the following water distribution network, where water is pumped uni-directionally from left to right: 8...
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Trace the path of a harmful chemical in an ecological network
An ecological network consists of the cycles of nature, such as the water cycle, the carbon cycle, the oxygen cycle, etc. Due to...
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Two Jugs: Minimum Steps ( Medium )
Following the first problem, now you need to find the shortest path. Given two jugs with capacities A and B, find the minimum nu...
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How Far Can You Throw Something?
As you probably learned in your high school physics class, throwing an object at a 45 degree angle will give you the maximum ran...
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The Generalized N-Jug Water Pouring Problem ( Hard )
Description: You are given N water jugs with maximum capacities specified in a vector C = [ c1, c2, c3,.., c_n]. Initially, all...
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The End of the World
given a date -- represent it in the Maya long count system. <https://en.wikipedia.org/wiki/Maya_calendar> <https://maya.nm...
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There are 10 types of people in the world
Those who know binary, and those who don't. The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...
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Pressure for a given Above Sea Level Altitude
For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from: with where...
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Power Outages Histogram
Create a function that takes power outage data as an input and creates a histogram of the number of outages as a function of Reg...
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Compute the missing quantity among P, V, T for an ideal gas
Consider 100 mol of helium gas at a certain pressure (P), volume (V), and temperature (T). Assuming that the ideal gas law appli...
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Jack O'Lantern
If visualized correctly, the data contained in the matrix A will look like a jack-o'-lantern. Create a function that will visu...
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Reproduce this plot!
Write a function that will take a dataset (x,y), a best fit model (model), and the upper and lower prediction bounds (lb,ub) for...
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The glass half full
Identical glasses are placed in a triangular tower structure, such that the top level (L = 1) comprises one glass, the next leve...
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Locate image wells
A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also u...
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Predicting life and death of a memory-less light bulb
*💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 &...
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SatCom #4: Satellite Orbit Altitude
Satellite and Space Engineering - Problem #4 This is part of a series of problems looking at topics in satellite and space comm...
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